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Optimal strategic reasoning with McNaughton functions

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    0428518 - ÚTIA 2015 RIV US eng J - Journal Article
    Kroupa, Tomáš - Majer, Ondrej
    Optimal strategic reasoning with McNaughton functions.
    International Journal of Approximate Reasoning. Roč. 55, č. 6 (2014), s. 1458-1468. ISSN 0888-613X. E-ISSN 1873-4731
    R&D Projects: GA ČR GAP402/12/1309
    Institutional support: RVO:67985556 ; RVO:67985807
    Keywords : Lukasiewicz logic * McNaughton function * Infinite game
    Subject RIV: BA - General Mathematics
    Impact factor: 2.451, year: 2014

    The aim of the paper is to explore strategic reasoning in strategic games of two players with an uncountably infinite space of strategies the payoff of which is given by McNaughton functions—functions on the unit interval which are piecewise linear with integer coefficients. We give a sufficient condition for finite equilibria and we propose an algorithm for recovering the corresponding equilibrium strategies.
    Permanent Link: http://hdl.handle.net/11104/0235482

     
     
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